A109250 Self-inverse integer permutation induced by Beatty sequences for 1+sqrt(2) and 1+1/sqrt(2).

2, 1, 4, 3, 7, 9, 5, 12, 6, 14, 16, 8, 19, 10, 21, 11, 24, 26, 13, 28, 15, 31, 33, 17, 36, 18, 38, 20, 41, 43, 22, 45, 23, 48, 50, 25, 53, 27, 55, 57, 29, 60, 30, 62, 32, 65, 67, 34, 70, 35, 72, 74, 37, 77, 39, 79, 40, 82, 84, 42, 86, 44, 89, 91, 46, 94

Offset

1,1

Links

Table of n, a(n) for n=1..66.

Eric Weisstein's World of Mathematics, Beatty Sequence

Index entries for sequences that are permutations of the natural numbers

Index entries for sequences related to Beatty sequences

Formula

a(A003151(n))=A003152(n) and a(A003152(n))=A003151(n).

Crossrefs

Cf. A003151, A003152.

Cf. A014176 (1+sqrt(2)).

Sequence in context: A339559 A248880 A026255 * A138236 A058354 A085930

Adjacent sequences: A109247 A109248 A109249 * A109251 A109252 A109253

Keyword

nonn

Author

Reinhard Zumkeller, Jun 23 2005

Status

approved